Finding the Third Proportional to 6,003 and 7,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,003 : 7,843.50 = 7,843.50 : x
2. Step 2: Convert to fraction form
   6,003/7,843.50 = 7,843.50/x
3. Step 3: Cross multiply
   6,003x = 7,843.50 × 7,843.50
4. Step 4: Simplify right side
   6,003x = 61,520,492.25
5. Step 5: Solve for x
   x = 61,520,492.25/6,003
6. Step 6: Final answer
   x = 10,248.29